This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.2937063

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.15 while 0.85 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

13

1

1

0.283

0.269

0.098

0.554

1.033

0.120

0.117

NSEI

p_pelagic

13

1

2

0.116

0.102

0.032

0.282

1.049

0.065

0.217

NSEI

p_yellow

13

1

1

0.611

0.587

0.163

0.992

1.148

0.284

0.085

NSEI

p_yellow

13

1

2

0.617

0.599

0.163

0.994

1.151

0.284

0.063

NSEI

p_pelagic

13

10

1

0.300

0.286

0.109

0.576

1.037

0.122

0.115

NSEI

p_pelagic

13

10

2

0.122

0.109

0.035

0.285

1.055

0.065

0.199

NSEI

p_yellow

13

10

1

0.611

0.594

0.149

0.993

1.166

0.286

0.060

NSEI

p_yellow

13

10

2

0.618

0.595

0.171

0.994

1.159

0.282

0.082

NSEI

p_pelagic

13

11

1

0.306

0.290

0.117

0.579

1.040

0.122

0.131

NSEI

p_pelagic

13

11

2

0.127

0.112

0.038

0.309

1.045

0.069

0.216

NSEI

p_yellow

13

11

1

0.609

0.581

0.156

0.993

1.148

0.286

0.098

NSEI

p_yellow

13

11

2

0.612

0.584

0.150

0.994

1.153

0.286

0.098

NSEI

p_pelagic

13

12

1

0.310

0.295

0.113

0.580

1.034

0.123

0.122

NSEI

p_pelagic

13

12

2

0.127

0.113

0.040

0.286

1.039

0.066

0.214

NSEI

p_yellow

13

12

1

0.608

0.576

0.156

0.993

1.151

0.287

0.112

NSEI

p_yellow

13

12

2

0.613

0.597

0.154

0.993

1.140

0.286

0.056

NSEI

p_pelagic

13

13

1

0.316

0.302

0.125

0.583

1.033

0.120

0.117

NSEI

p_pelagic

13

13

2

0.130

0.116

0.040

0.294

1.035

0.066

0.211

NSEI

p_yellow

13

13

1

0.613

0.600

0.157

0.992

1.152

0.285

0.046

NSEI

p_yellow

13

13

2

0.614

0.600

0.160

0.993

1.159

0.284

0.049

NSEI

p_pelagic

13

14

1

0.300

0.288

0.117

0.538

1.032

0.112

0.107

NSEI

p_pelagic

13

14

2

0.129

0.116

0.041

0.295

1.025

0.066

0.198

NSEI

p_yellow

13

14

1

0.614

0.591

0.160

0.993

1.154

0.284

0.081

NSEI

p_yellow

13

14

2

0.617

0.590

0.158

0.993

1.152

0.281

0.096

NSEI

p_pelagic

13

15

1

0.273

0.258

0.101

0.516

1.026

0.110

0.137

NSEI

p_pelagic

13

15

2

0.123

0.111

0.040

0.271

1.015

0.060

0.201

NSEI

p_yellow

13

15

1

0.609

0.591

0.150

0.992

1.148

0.287

0.063

NSEI

p_yellow

13

15

2

0.609

0.587

0.145

0.993

1.148

0.289

0.076

NSEI

p_pelagic

13

16

1

0.312

0.298

0.132

0.559

1.024

0.114

0.123

NSEI

p_pelagic

13

16

2

0.135

0.124

0.044

0.288

1.032

0.064

0.172

NSEI

p_yellow

13

16

1

0.613

0.588

0.157

0.993

1.152

0.288

0.087

NSEI

p_yellow

13

16

2

0.615

0.599

0.165

0.993

1.153

0.285

0.056

NSEI

p_pelagic

13

17

1

0.327

0.315

0.129

0.573

1.020

0.115

0.104

NSEI

p_pelagic

13

17

2

0.142

0.130

0.047

0.318

1.010

0.069

0.173

NSEI

p_yellow

13

17

1

0.615

0.596

0.153

0.993

1.146

0.285

0.067

NSEI

p_yellow

13

17

2

0.615

0.602

0.158

0.993

1.144

0.285

0.046

NSEI

p_pelagic

13

18

1

0.334

0.323

0.142

0.592

1.032

0.115

0.096

NSEI

p_pelagic

13

18

2

0.147

0.134

0.049

0.316

1.026

0.068

0.190

NSEI

p_yellow

13

18

1

0.615

0.595

0.159

0.993

1.154

0.284

0.071

NSEI

p_yellow

13

18

2

0.612

0.596

0.163

0.994

1.151

0.285

0.056

NSEI

p_pelagic

13

19

1

0.333

0.322

0.147

0.591

1.025

0.114

0.096

NSEI

p_pelagic

13

19

2

0.151

0.139

0.052

0.314

1.021

0.069

0.174

NSEI

p_yellow

13

19

1

0.614

0.601

0.151

0.993

1.145

0.285

0.046

NSEI

p_yellow

13

19

2

0.610

0.594

0.150

0.993

1.156

0.288

0.056

NSEI

p_pelagic

13

2

1

0.285

0.268

0.098

0.572

1.034

0.123

0.138

NSEI

p_pelagic

13

2

2

0.115

0.102

0.033

0.263

1.045

0.062

0.211

NSEI

p_yellow

13

2

1

0.616

0.598

0.146

0.993

1.155

0.285

0.063

NSEI

p_yellow

13

2

2

0.614

0.597

0.156

0.993

1.150

0.285

0.060

NSEI

p_pelagic

13

20

1

0.354

0.344

0.163

0.604

1.020

0.116

0.087

NSEI

p_pelagic

13

20

2

0.158

0.145

0.054

0.333

1.012

0.072

0.180

NSEI

p_yellow

13

20

1

0.613

0.594

0.157

0.992

1.147

0.285

0.067

NSEI

p_yellow

13

20

2

0.615

0.599

0.164

0.994

1.141

0.285

0.056

NSEI

p_pelagic

13

21

1

0.368

0.358

0.169

0.608

1.013

0.113

0.088

NSEI

p_pelagic

13

21

2

0.166

0.153

0.059

0.346

1.010

0.075

0.174

NSEI

p_yellow

13

21

1

0.611

0.588

0.154

0.993

1.137

0.285

0.081

NSEI

p_yellow

13

21

2

0.614

0.603

0.152

0.993

1.150

0.286

0.038

NSEI

p_pelagic

13

22

2

0.172

0.160

0.064

0.344

1.010

0.074

0.162

NSEI

p_yellow

13

22

1

0.610

0.587

0.161

0.993

1.153

0.285

0.081

NSEI

p_yellow

13

22

2

0.610

0.584

0.159

0.993

1.150

0.285

0.091

NSEI

p_yellow

13

23

1

0.583

0.552

0.129

0.991

1.149

0.296

0.105

NSEI

p_yellow

13

23

2

0.648

0.646

0.184

0.995

1.138

0.269

0.007

NSEI

p_yellow

13

24

1

0.591

0.579

0.121

0.991

1.147

0.293

0.041

NSEI

p_yellow

13

24

2

0.649

0.647

0.186

0.995

1.148

0.269

0.007

NSEI

p_yellow

13

25

1

0.587

0.557

0.128

0.991

1.146

0.290

0.103

NSEI

p_yellow

13

25

2

0.648

0.643

0.191

0.994

1.138

0.269

0.019

NSEI

p_yellow

13

26

1

0.577

0.541

0.123

0.990

1.150

0.295

0.122

NSEI

p_yellow

13

26

2

0.643

0.636

0.185

0.994

1.130

0.270

0.026

NSEI

p_yellow

13

27

1

0.562

0.524

0.122

0.990

1.153

0.293

0.130

NSEI

p_yellow

13

27

2

0.637

0.625

0.186

0.994

1.141

0.266

0.045

NSEI

p_yellow

13

28

1

0.566

0.537

0.132

0.989

1.154

0.281

0.103

NSEI

p_yellow

13

28

2

0.631

0.617

0.187

0.994

1.142

0.263

0.053

NSEI

p_yellow

13

29

1

0.521

0.480

0.118

0.986

1.159

0.267

0.154

NSEI

p_yellow

13

29

2

0.602

0.586

0.186

0.991

1.144

0.246

0.065

NSEI

p_pelagic

13

3

1

0.288

0.270

0.102

0.551

1.040

0.120

0.151

NSEI

p_pelagic

13

3

2

0.115

0.099

0.033

0.285

1.046

0.066

0.243

NSEI

p_yellow

13

3

1

0.611

0.591

0.152

0.992

1.152

0.285

0.070

NSEI

p_yellow

13

3

2

0.612

0.594

0.160

0.993

1.150

0.287

0.063

NSEI

p_pelagic

13

4

1

0.289

0.273

0.103

0.565

1.050

0.122

0.132

NSEI

p_pelagic

13

4

2

0.117

0.102

0.033

0.280

1.047

0.066

0.228

NSEI

p_yellow

13

4

1

0.612

0.601

0.150

0.993

1.146

0.289

0.038

NSEI

p_yellow

13

4

2

0.618

0.612

0.164

0.994

1.145

0.284

0.021

NSEI

p_pelagic

13

5

1

0.288

0.270

0.102

0.556

1.044

0.120

0.151

NSEI

p_pelagic

13

5

2

0.117

0.102

0.034

0.287

1.049

0.066

0.228

NSEI

p_yellow

13

5

1

0.612

0.592

0.156

0.993

1.147

0.286

0.070

NSEI

p_yellow

13

5

2

0.615

0.597

0.161

0.992

1.157

0.283

0.064

NSEI

p_pelagic

13

6

1

0.293

0.277

0.104

0.565

1.038

0.122

0.131

NSEI

p_pelagic

13

6

2

0.118

0.102

0.033

0.293

1.051

0.068

0.237

NSEI

p_yellow

13

6

1

0.611

0.600

0.156

0.993

1.160

0.287

0.038

NSEI

p_yellow

13

6

2

0.613

0.596

0.153

0.992

1.149

0.286

0.059

NSEI

p_pelagic

13

7

1

0.292

0.274

0.107

0.573

1.041

0.122

0.148

NSEI

p_pelagic

13

7

2

0.117

0.103

0.034

0.278

1.052

0.064

0.220

NSEI

p_yellow

13

7

1

0.613

0.596

0.154

0.993

1.148

0.287

0.059

NSEI

p_yellow

13

7

2

0.612

0.592

0.163

0.993

1.149

0.287

0.070

NSEI

p_pelagic

13

8

1

0.297

0.281

0.106

0.570

1.042

0.121

0.133

NSEI

p_pelagic

13

8

2

0.120

0.107

0.036

0.282

1.039

0.063

0.205

NSEI

p_yellow

13

8

1

0.614

0.608

0.160

0.992

1.148

0.286

0.021

NSEI

p_yellow

13

8

2

0.615

0.600

0.158

0.993

1.155

0.286

0.052

NSEI

p_pelagic

13

9

1

0.299

0.285

0.110

0.574

1.038

0.120

0.117

NSEI

p_pelagic

13

9

2

0.122

0.107

0.035

0.289

1.039

0.066

0.229

NSEI

p_yellow

13

9

1

0.611

0.590

0.155

0.993

1.152

0.287

0.073

NSEI

p_yellow

13

9

2

0.613

0.587

0.161

0.993

1.156

0.286

0.091

NSEI

p_yellow

14

1

1

0.611

0.591

0.267

0.995

1.092

0.200

0.100

NSEO

p_yellow

14

1

2

0.645

0.633

0.291

0.996

1.073

0.193

0.062

NSEO

p_yellow

14

10

1

0.606

0.585

0.272

0.995

1.085

0.201

0.105

NSEO

p_yellow

14

10

2

0.648

0.638

0.313

0.996

1.077

0.189

0.053

NSEO

p_yellow

14

11

1

0.610

0.592

0.264

0.995

1.083

0.200

0.090

NSEO

p_yellow

14

11

2

0.642

0.626

0.294

0.996

1.077

0.192

0.083

NSEO

p_yellow

14

12

1

0.605

0.582

0.260

0.995

1.081

0.202

0.114

NSEO

p_yellow

14

12

2

0.645

0.635

0.300

0.996

1.074

0.191

0.052

NSEO

p_pelagic

14

13

1

0.423

0.422

0.189

0.659

1.012

0.126

0.008

NSEO

p_yellow

14

13

1

0.607

0.586

0.262

0.995

1.087

0.202

0.104

NSEO

p_yellow

14

13

2

0.645

0.632

0.294

0.996

1.077

0.191

0.068

NSEO

p_yellow

14

14

1

0.608

0.588

0.277

0.995

1.094

0.198

0.101

NSEO

p_yellow

14

14

2

0.641

0.626

0.302

0.996

1.079

0.193

0.078

NSEO

p_yellow

14

15

1

0.605

0.588

0.248

0.995

1.076

0.204

0.083

NSEO

p_yellow

14

15

2

0.643

0.631

0.290

0.996

1.084

0.192

0.062

NSEO

p_slope

14

15

2

0.073

0.055

0.009

0.260

1.013

0.066

0.271

NSEO

p_yellow

14

16

1

0.611

0.592

0.282

0.994

1.079

0.197

0.096

NSEO

p_yellow

14

16

2

0.642

0.630

0.284

0.996

1.070

0.193

0.062

NSEO

p_yellow

14

17

1

0.602

0.581

0.259

0.995

1.085

0.204

0.103

NSEO

p_yellow

14

17

2

0.641

0.630

0.299

0.996

1.076

0.191

0.058

NSEO

p_yellow

14

18

1

0.604

0.582

0.266

0.995

1.092

0.200

0.110

NSEO

p_yellow

14

18

2

0.637

0.620

0.297

0.996

1.080

0.193

0.088

NSEO

p_yellow

14

19

1

0.610

0.590

0.260

0.995

1.096

0.201

0.099

NSEO

p_yellow

14

19

2

0.646

0.636

0.298

0.996

1.076

0.191

0.052

NSEO

p_yellow

14

2

1

0.607

0.585

0.259

0.995

1.077

0.202

0.109

NSEO

p_yellow

14

2

2

0.647

0.634

0.296

0.995

1.067

0.193

0.068

NSEO

p_yellow

14

20

1

0.604

0.584

0.267

0.995

1.087

0.200

0.100

NSEO

p_yellow

14

20

2

0.641

0.629

0.308

0.996

1.082

0.191

0.063

NSEO

p_yellow

14

21

1

0.608

0.585

0.268

0.995

1.087

0.200

0.115

NSEO

p_yellow

14

21

2

0.641

0.627

0.306

0.996

1.082

0.193

0.073

NSEO

p_yellow

14

22

1

0.607

0.587

0.273

0.994

1.088

0.198

0.101

NSEO

p_yellow

14

22

2

0.642

0.626

0.283

0.996

1.071

0.194

0.083

NSEO

p_slope

14

22

2

0.072

0.054

0.010

0.243

1.013

0.063

0.287

NSEO

p_yellow

14

23

1

0.639

0.629

0.313

0.995

1.090

0.187

0.054

NSEO

p_yellow

14

23

2

0.642

0.627

0.298

0.996

1.077

0.193

0.078

NSEO

p_yellow

14

24

1

0.636

0.623

0.304

0.995

1.090

0.187

0.070

NSEO

p_yellow

14

24

2

0.643

0.632

0.294

0.996

1.068

0.193

0.057

NSEO

p_yellow

14

25

1

0.622

0.600

0.291

0.994

1.093

0.191

0.115

NSEO

p_yellow

14

25

2

0.640

0.635

0.290

0.996

1.067

0.194

0.026

NSEO

p_yellow

14

26

1

0.615

0.596

0.267

0.995

1.083

0.198

0.096

NSEO

p_yellow

14

26

2

0.637

0.624

0.275

0.996

1.070

0.198

0.066

NSEO

p_yellow

14

27

1

0.630

0.622

0.263

0.995

1.080

0.197

0.041

NSEO

p_yellow

14

27

2

0.642

0.633

0.282

0.996

1.079

0.195

0.046

NSEO

p_yellow

14

28

1

0.615

0.594

0.274

0.995

1.078

0.192

0.109

NSEO

p_yellow

14

28

2

0.637

0.624

0.291

0.996

1.063

0.193

0.067

NSEO

p_yellow

14

29

1

0.608

0.597

0.265

0.991

1.072

0.194

0.057

NSEO

p_yellow

14

29

2

0.634

0.628

0.288

0.993

1.071

0.186

0.032

NSEO

p_pelagic

14

3

1

0.418

0.419

0.178

0.659

1.017

0.127

-0.008

NSEO

p_yellow

14

3

1

0.605

0.578

0.260

0.995

1.090

0.201

0.135

NSEO

p_yellow

14

3

2

0.642

0.631

0.288

0.997

1.069

0.194

0.057

NSEO

p_pelagic

14

4

1

0.425

0.424

0.184

0.671

1.013

0.128

0.008

NSEO

p_yellow

14

4

1

0.608

0.587

0.270

0.995

1.083

0.199

0.105

NSEO

p_yellow

14

4

2

0.647

0.639

0.297

0.996

1.082

0.190

0.042

NSEO

p_yellow

14

5

1

0.607

0.585

0.258

0.995

1.090

0.201

0.110

NSEO

p_yellow

14

5

2

0.640

0.626

0.302

0.996

1.070

0.192

0.073

NSEO

p_yellow

14

6

1

0.608

0.586

0.270

0.995

1.089

0.200

0.110

NSEO

p_yellow

14

6

2

0.647

0.635

0.313

0.996

1.076

0.187

0.064

NSEO

p_pelagic

14

7

2

0.398

0.393

0.160

0.660

1.012

0.130

0.038

NSEO

p_yellow

14

7

1

0.607

0.580

0.265

0.995

1.093

0.201

0.134

NSEO

p_yellow

14

7

2

0.640

0.628

0.296

0.996

1.076

0.192

0.063

NSEO

p_pelagic

14

8

2

0.400

0.396

0.163

0.657

1.011

0.128

0.031

NSEO

p_yellow

14

8

1

0.606

0.584

0.263

0.995

1.092

0.201

0.109

NSEO

p_yellow

14

8

2

0.641

0.634

0.289

0.996

1.069

0.193

0.036

NSEO

p_yellow

14

9

1

0.609

0.590

0.268

0.995

1.102

0.197

0.096

NSEO

p_yellow

14

9

2

0.643

0.632

0.291

0.996

1.080

0.194

0.057

NSEO

p_slope

16

28

2

0.077

0.058

0.010

0.265

1.011

0.066

0.287

SSEO

p_dsr

16

31

1

0.402

0.401

0.376

0.432

1.683

0.015

0.066

SSEO

p_pelagic

16

42

1

0.832

0.832

0.826

0.839

1.131

0.003

0.000

SSEO

p_yellow

16

42

1

0.405

0.405

0.384

0.426

1.059

0.011

0.000

SSEO

p_dsr

16

42

1

0.470

0.479

0.411

0.512

3.550

0.030

-0.298

SSEO

p_slope

16

42

1

0.146

0.132

0.107

0.205

5.036

0.032

0.443

SSEO

p_pelagic

3

1

1

0.554

0.561

0.294

0.789

1.016

0.130

-0.054

PWSI

p_pelagic

3

1

2

0.189

0.176

0.061

0.385

1.011

0.083

0.156

PWSI

p_pelagic

3

10

1

0.551

0.559

0.280

0.784

1.014

0.130

-0.062

PWSI

p_pelagic

3

11

1

0.554

0.557

0.286

0.790

1.016

0.130

-0.023

PWSI

p_pelagic

3

11

2

0.190

0.179

0.065

0.382

1.017

0.082

0.133

PWSI

p_pelagic

3

12

1

0.553

0.561

0.295

0.781

1.017

0.127

-0.063

PWSI

p_pelagic

3

12

2

0.191

0.179

0.069

0.381

1.015

0.082

0.145

PWSI

p_pelagic

3

13

2

0.192

0.179

0.068

0.381

1.015

0.082

0.158

PWSI

p_pelagic

3

14

1

0.558

0.564

0.292

0.794

1.011

0.131

-0.046

PWSI

p_pelagic

3

14

2

0.197

0.185

0.069

0.396

1.017

0.084

0.142

PWSI

p_pelagic

3

15

1

0.554

0.557

0.285

0.799

1.012

0.131

-0.023

PWSI

p_pelagic

3

15

2

0.189

0.176

0.064

0.378

1.014

0.084

0.155

PWSI

p_pelagic

3

16

1

0.553

0.561

0.286

0.796

1.011

0.132

-0.060

PWSI

p_pelagic

3

18

1

0.556

0.564

0.286

0.785

1.013

0.130

-0.061

PWSI

p_pelagic

3

3

1

0.557

0.562

0.294

0.789

1.012

0.130

-0.038

PWSI

p_pelagic

3

4

1

0.552

0.561

0.284

0.790

1.012

0.132

-0.068

PWSI

p_pelagic

3

4

2

0.190

0.175

0.069

0.392

1.019

0.085

0.177

PWSI

p_pelagic

3

6

1

0.557

0.563

0.292

0.792

1.012

0.132

-0.045

PWSI

p_pelagic

3

7

1

0.556

0.565

0.293

0.789

1.017

0.131

-0.068

PWSI

p_pelagic

3

7

2

0.190

0.177

0.064

0.381

1.014

0.083

0.156

PWSI

p_pelagic

3

8

1

0.558

0.564

0.287

0.799

1.011

0.133

-0.045

PWSI

p_pelagic

3

9

1

0.555

0.559

0.281

0.789

1.020

0.131

-0.030

PWSI

p_yellow

4

1

1

0.882

0.896

0.711

0.977

1.010

0.071

-0.197

PWSO

p_yellow

4

10

2

0.878

0.893

0.691

0.974

1.012

0.075

-0.201

PWSO

p_yellow

4

13

2

0.876

0.894

0.689

0.974

1.011

0.076

-0.236

PWSO

p_yellow

4

2

2

0.877

0.891

0.695

0.977

1.012

0.074

-0.190

PWSO

p_yellow

4

5

1

0.882

0.897

0.696

0.979

1.015

0.073

-0.204

PWSO

p_yellow

4

6

1

0.881

0.896

0.700

0.976

1.012

0.073

-0.204

PWSO

p_yellow

8

8

2

0.925

0.943

0.757

0.991

1.010

0.063

-0.284

afognak

p_black

9

18

1

0.918

0.945

0.681

0.994

1.010

0.085

-0.319

eastside

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta1_pH

10

1

2.224

2.134

1.498

3.310

1.238

0.511

0.176

northeast

beta2_pH

10

1

1.504

0.747

0.234

9.215

1.139

2.101

0.360

northeast

beta2_pH

10

3

0.445

0.243

0.099

1.925

1.162

1.019

0.198

northeast

beta3_pH

10

1

32.581

32.319

30.218

36.037

1.199

1.694

0.155

northeast

beta1_pH

11

1

3.615

3.561

2.712

4.738

1.131

0.549

0.098

CSEO

beta2_pH

11

4

-7.376

-6.159

-19.150

-0.809

1.123

5.236

-0.232

CSEO

beta3_pelagic

11

30.001

29.921

28.171

32.566

1.109

1.091

0.073

CSEO

beta2_yellow

11

-5.933

-3.488

-20.246

-0.313

1.437

5.560

-0.440

CSEO

beta2_pH

12

4

-7.596

-6.240

-19.174

-1.186

1.117

5.141

-0.264

EWYKT

beta2_pH

13

4

-7.418

-6.127

-19.338

-0.996

1.126

5.179

-0.249

NSEI

beta3_pH

13

1

31.408

31.392

30.378

32.528

1.133

0.530

0.030

NSEI

beta0_pelagic

13

-1.080

-1.131

-1.700

-0.305

1.119

0.384

0.133

NSEI

beta2_pelagic

13

0.165

0.151

0.092

0.328

1.101

0.066

0.212

NSEI

beta3_pelagic

13

31.238

30.935

24.993

39.105

1.109

3.643

0.083

NSEI

beta1_yellow

13

2.243

1.540

0.095

5.931

1.228

1.770

0.397

NSEI

beta3_yellow

13

31.969

31.032

29.060

38.336

1.105

2.808

0.334

NSEI

beta2_pH

14

4

-7.447

-6.215

-19.120

-1.141

1.106

5.062

-0.243

NSEO

beta0_pelagic

14

-0.320

-0.273

-1.031

0.022

1.136

0.258

-0.182

NSEO

beta1_yellow

14

0.966

0.481

0.013

5.433

1.252

1.355

0.358

NSEO

beta0_pH

15

4

0.666

0.706

-0.306

1.478

1.131

0.464

-0.086

SSEI

beta1_pH

15

4

1.382

1.333

0.380

2.540

1.134

0.560

0.087

SSEI

beta2_pH

15

4

-7.579

-6.263

-19.383

-1.178

1.108

5.133

-0.256

SSEI

beta3_pH

15

4

40.836

40.868

39.064

42.447

1.102

0.824

-0.039

SSEI

beta1_pelagic

15

0.079

0.013

0.000

0.586

1.110

0.146

0.452

SSEI

beta2_pH

16

4

-7.997

-6.725

-19.013

-1.729

1.220

5.014

-0.254

SSEO

beta3_pH

16

4

41.532

41.515

40.920

42.260

1.240

0.364

0.047

SSEO

beta0_dsr

16

0.165

0.166

0.132

0.197

1.104

0.016

-0.062

SSEO

mu_beta2_pH

2

1

1.526

0.756

0.158

8.939

1.157

2.329

0.331

NG

tau_beta1_pH

3

4

4.614

2.600

0.272

21.352

1.102

6.609

0.305

PWSI

mu_beta2_pH

3

4

-7.041

-5.704

-18.285

-0.553

1.150

5.007

-0.267

PWSI

beta1_pH

4

1

2.050

1.904

1.333

3.602

1.159

0.551

0.265

PWSO

beta2_pH

5

1

2.115

1.325

0.244

9.949

1.128

2.519

0.314

BSAI

beta1_pH

6

1

2.094

1.903

1.086

3.964

1.187

0.745

0.256

SOKO2SAP

beta2_pH

6

1

1.363

0.458

0.125

9.390

1.126

2.473

0.366

SOKO2SAP

beta1_pH

8

1

2.428

2.285

1.165

4.510

1.273

0.859

0.167

afognak

beta2_pH

8

1

0.998

0.374

0.159

7.884

1.199

1.889

0.330

afognak

beta3_pH

8

1

35.893

35.487

29.644

42.619

1.235

3.837

0.106

afognak

beta1_pH

9

1

2.114

1.986

1.219

3.854

1.129

0.650

0.197

eastside

beta2_pH

9

1

1.249

0.505

0.147

9.186

1.191

2.076

0.358

eastside

beta2_pH

9

3

0.354

0.187

0.091

1.497

1.139

0.961

0.174

eastside

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

573.00

239.00

1,077.00

350.00

Prop. of total

0.71

0.29

0.75

0.25

Prop. median less than 1

0.19

0.21

0.32

0.45

Prop. median less than 10

0.28

0.54

0.51

0.77

Prop. median less than 50

0.44

0.75

0.67

0.85

Median of the median values

82.11

8.57

8.94

1.66

Mean of the median values

1,114.73

314.64

303.10

180.52

Mean skew of posteriors

0.22

0.29

0.26

0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

24.00

11.00

56.00

45.00

Prop. of total

0.69

0.31

0.55

0.45

Prop. median less than 1

0.17

0.64

0.64

0.42

Prop. median less than 10

0.21

0.82

0.80

0.84

Prop. median less than 50

0.33

1.00

0.91

0.93

Median of the median values

1,167.86

0.94

0.09

1.42

Mean of the median values

1,043.72

5.67

47.36

7.40

Mean skew of posteriors

0.18

0.20

0.16

0.18

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pelagic

2

beta0_pH

1

beta1_pH

7

beta1_yellow

2

beta2_pH

11

beta2_yellow

1

beta3_pH

4

eps_dsr

1

eps_pH

14

eps_sl

2

H_ay

3

H_ayg

1

H_ayu

3

Hb_ay

1

Hb_ayg

1

Hb_ayu

3

Hd_ay

1

Hd_ayg

2

Ho_ay

2

Ho_ayg

1

Ho_ayu

3

Hp_ay

3

Hp_ayg

1

Hp_ayu

3

Hs_ay

2

Hs_ayg

2

Hs_ayu

3

Hy_ay

11

Hy_ayg

9

Hy_ayu

7

mu_beta2_pH

2

p_dsr

2

p_pelagic

1

p_slope

3

p_yellow

58

pH

11

R_ay

2

R_ayg

4

R_ayu

3

Rb_ayg

5

Rb_ayu

3

Rd_ay

3

Rd_ayg

4

Rd_ayu

1

re_dsr

2

re_pH

32

re_slope

2

Ro_ay

13

Ro_ayg

13

Ro_ayu

28

Rp_ay

2

Rp_ayg

4

Rp_ayu

3

Rs_ay

5

Rs_ayg

12

Rs_ayu

19

Ry_ay

8

Ry_ayg

9

Ry_ayu

23

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.018 0.067 -0.139 -0.020 0.122
mu_bc_H[2] 0.080 0.056 -0.027 0.077 0.194
mu_bc_H[3] -0.266 0.069 -0.400 -0.267 -0.129
mu_bc_H[4] -0.921 0.181 -1.287 -0.920 -0.574
mu_bc_H[5] 1.376 1.285 0.123 1.067 4.484
mu_bc_H[6] -2.447 0.324 -3.090 -2.439 -1.828
mu_bc_H[7] -0.459 0.099 -0.653 -0.460 -0.270
mu_bc_H[8] 0.250 0.340 -0.332 0.227 0.991
mu_bc_H[9] -0.247 0.125 -0.486 -0.249 0.005
mu_bc_H[10] 0.055 0.067 -0.074 0.053 0.194
mu_bc_H[11] -0.126 0.036 -0.198 -0.126 -0.053
mu_bc_H[12] -0.258 0.109 -0.492 -0.253 -0.052
mu_bc_H[13] -0.156 0.070 -0.293 -0.157 -0.017
mu_bc_H[14] -0.304 0.088 -0.477 -0.305 -0.129
mu_bc_H[15] -0.343 0.047 -0.435 -0.343 -0.250
mu_bc_H[16] -0.152 0.369 -0.777 -0.178 0.625
mu_bc_R[1] 1.039 0.119 0.805 1.042 1.273
mu_bc_R[2] 1.015 0.076 0.853 1.021 1.149
mu_bc_R[3] 0.229 0.093 0.039 0.231 0.402
mu_bc_R[4] 0.664 0.199 0.262 0.667 1.039
mu_bc_R[5] 1.681 0.379 0.928 1.680 2.444
mu_bc_R[6] -1.473 0.336 -2.139 -1.475 -0.814
mu_bc_R[7] 0.510 0.164 0.189 0.508 0.828
mu_bc_R[8] 0.658 0.144 0.386 0.653 0.941
mu_bc_R[9] 0.384 0.166 0.035 0.391 0.686
mu_bc_R[10] 0.893 0.105 0.683 0.892 1.097
mu_bc_R[11] 1.097 0.074 0.949 1.096 1.239
mu_bc_R[12] 0.863 0.164 0.537 0.861 1.183
mu_bc_R[13] 1.036 0.090 0.857 1.039 1.208
mu_bc_R[14] 0.864 0.125 0.613 0.863 1.106
mu_bc_R[15] 0.800 0.094 0.615 0.801 0.985
mu_bc_R[16] 1.355 0.112 1.134 1.358 1.571
tau_pH[1] 2.450 0.180 2.109 2.447 2.811
tau_pH[2] 1.609 0.152 1.336 1.603 1.922
tau_pH[3] 1.204 0.108 0.998 1.202 1.426
tau_pH[4] 1.056 0.156 0.782 1.044 1.392
tau_pH[5] 0.417 0.076 0.291 0.410 0.585
beta0_pH[1,1] 0.558 0.168 0.179 0.565 0.855
beta0_pH[2,1] 1.413 0.159 1.092 1.417 1.703
beta0_pH[3,1] 1.386 0.223 0.854 1.407 1.766
beta0_pH[4,1] 1.488 0.275 0.837 1.536 1.903
beta0_pH[5,1] -0.802 0.421 -1.828 -0.752 -0.109
beta0_pH[6,1] -0.507 0.389 -1.463 -0.408 0.021
beta0_pH[7,1] 0.757 0.010 0.737 0.757 0.778
beta0_pH[8,1] -0.534 0.297 -1.192 -0.531 -0.002
beta0_pH[9,1] -0.366 0.295 -0.966 -0.353 0.179
beta0_pH[10,1] 0.245 0.194 -0.162 0.256 0.634
beta0_pH[11,1] -0.100 0.287 -0.645 -0.086 0.474
beta0_pH[12,1] 0.629 0.193 0.217 0.634 0.988
beta0_pH[13,1] -0.653 0.158 -0.984 -0.648 -0.366
beta0_pH[14,1] 0.009 0.171 -0.340 0.015 0.332
beta0_pH[15,1] 0.048 0.189 -0.334 0.070 0.376
beta0_pH[16,1] -0.857 0.206 -1.300 -0.838 -0.519
beta0_pH[1,2] 2.565 0.085 2.402 2.564 2.734
beta0_pH[2,2] 3.079 0.022 3.038 3.079 3.121
beta0_pH[3,2] 3.626 0.042 3.545 3.627 3.708
beta0_pH[4,2] 2.936 0.019 2.899 2.936 2.975
beta0_pH[5,2] 4.554 1.463 2.669 4.276 8.284
beta0_pH[6,2] 3.318 0.157 3.025 3.311 3.644
beta0_pH[7,2] 2.031 0.050 1.937 2.030 2.129
beta0_pH[8,2] 2.821 0.066 2.689 2.820 2.957
beta0_pH[9,2] 3.952 0.208 3.571 3.947 4.376
beta0_pH[10,2] 3.997 0.129 3.747 3.992 4.260
beta0_pH[11,2] 1.885 0.009 1.868 1.885 1.903
beta0_pH[12,2] 1.795 0.068 1.665 1.795 1.931
beta0_pH[13,2] 2.497 0.026 2.444 2.497 2.547
beta0_pH[14,2] 1.803 0.024 1.758 1.803 1.851
beta0_pH[15,2] 2.545 0.017 2.513 2.545 2.578
beta0_pH[16,2] 2.765 0.025 2.715 2.765 2.816
beta0_pH[1,3] 1.146 0.339 0.301 1.196 1.682
beta0_pH[2,3] 2.126 0.018 2.091 2.126 2.161
beta0_pH[3,3] 2.692 0.024 2.645 2.692 2.741
beta0_pH[4,3] 2.981 0.034 2.914 2.981 3.046
beta0_pH[5,3] 3.516 2.303 0.920 2.901 9.368
beta0_pH[6,3] 1.354 0.380 0.709 1.317 2.205
beta0_pH[7,3] 0.859 0.050 0.762 0.860 0.957
beta0_pH[8,3] 0.276 0.216 -0.151 0.296 0.618
beta0_pH[9,3] -2.342 0.993 -4.464 -2.289 -0.530
beta0_pH[10,3] -0.613 0.897 -2.822 -0.494 0.810
beta0_pH[11,3] 1.102 0.480 0.096 1.123 2.009
beta0_pH[12,3] 0.942 0.633 -0.442 0.937 2.182
beta0_pH[13,3] 1.005 0.469 0.040 1.014 1.903
beta0_pH[14,3] 0.589 0.444 -0.373 0.620 1.352
beta0_pH[15,3] 0.731 0.411 -0.156 0.758 1.452
beta0_pH[16,3] 1.147 0.609 -0.062 1.136 2.353
beta0_pH[11,4] 0.976 0.448 0.112 0.951 1.839
beta0_pH[12,4] 0.982 0.673 -0.313 0.955 2.358
beta0_pH[13,4] 0.729 0.535 -0.522 0.776 1.593
beta0_pH[14,4] 0.414 0.469 -0.571 0.440 1.259
beta0_pH[15,4] 0.666 0.464 -0.306 0.706 1.478
beta0_pH[16,4] 0.849 0.538 -0.227 0.836 1.902
beta0_pH[11,5] 2.973 0.153 2.694 2.964 3.288
beta0_pH[12,5] -0.903 0.515 -1.967 -0.885 0.119
beta0_pH[13,5] 4.901 0.425 4.116 4.882 5.768
beta0_pH[14,5] 3.915 0.359 3.269 3.900 4.675
beta0_pH[15,5] 2.278 0.124 2.047 2.274 2.535
beta0_pH[16,5] 0.268 0.065 0.172 0.257 0.423
beta1_pH[1,1] 2.518 0.434 1.778 2.474 3.532
beta1_pH[2,1] 1.607 0.306 1.067 1.582 2.245
beta1_pH[3,1] 1.796 0.424 1.103 1.754 2.842
beta1_pH[4,1] 2.050 0.551 1.333 1.904 3.602
beta1_pH[5,1] 2.348 0.540 1.500 2.274 3.684
beta1_pH[6,1] 2.094 0.745 1.086 1.903 3.964
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.428 0.859 1.165 2.285 4.510
beta1_pH[9,1] 2.114 0.650 1.219 1.986 3.854
beta1_pH[10,1] 2.224 0.511 1.498 2.134 3.310
beta1_pH[11,1] 3.615 0.549 2.712 3.561 4.738
beta1_pH[12,1] 2.897 0.291 2.350 2.889 3.503
beta1_pH[13,1] 3.446 0.250 2.962 3.436 3.951
beta1_pH[14,1] 2.838 0.304 2.281 2.831 3.481
beta1_pH[15,1] 2.419 0.276 1.931 2.388 3.023
beta1_pH[16,1] 4.014 0.295 3.529 3.989 4.665
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.885 1.151 0.051 1.767 4.732
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.933 2.577 1.046 4.418 11.223
beta1_pH[9,3] 7.789 2.545 3.384 7.506 13.611
beta1_pH[10,3] 6.881 2.718 2.883 6.404 13.108
beta1_pH[11,3] 2.189 0.530 1.168 2.182 3.238
beta1_pH[12,3] 3.278 0.656 2.047 3.259 4.748
beta1_pH[13,3] 1.976 0.503 0.989 1.975 2.999
beta1_pH[14,3] 2.181 0.497 1.260 2.167 3.240
beta1_pH[15,3] 2.093 0.476 1.240 2.074 3.040
beta1_pH[16,3] 3.730 0.662 2.391 3.750 5.024
beta1_pH[11,4] 1.825 0.535 0.780 1.866 2.835
beta1_pH[12,4] 3.098 0.682 1.693 3.122 4.419
beta1_pH[13,4] 1.275 0.546 0.360 1.237 2.531
beta1_pH[14,4] 1.952 0.546 0.919 1.932 3.101
beta1_pH[15,4] 1.382 0.560 0.380 1.333 2.540
beta1_pH[16,4] 3.616 0.620 2.365 3.632 4.873
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.351 0.896 0.359 1.003 3.397
beta2_pH[2,1] 1.651 0.974 0.349 1.452 3.438
beta2_pH[3,1] 1.353 0.858 0.198 1.194 2.956
beta2_pH[4,1] 1.048 0.813 0.162 0.749 2.916
beta2_pH[5,1] 2.115 2.519 0.244 1.325 9.949
beta2_pH[6,1] 1.363 2.473 0.125 0.458 9.390
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.998 1.889 0.159 0.374 7.884
beta2_pH[9,1] 1.249 2.076 0.147 0.505 9.186
beta2_pH[10,1] 1.504 2.101 0.234 0.747 9.215
beta2_pH[11,1] 0.345 0.153 0.170 0.308 0.736
beta2_pH[12,1] 1.594 0.817 0.617 1.338 3.628
beta2_pH[13,1] 1.019 0.447 0.536 0.901 2.387
beta2_pH[14,1] 1.177 0.678 0.486 0.965 3.218
beta2_pH[15,1] 1.037 0.621 0.377 0.852 2.910
beta2_pH[16,1] 1.003 0.305 0.600 0.949 1.739
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 7.082 6.725 0.176 5.575 22.947
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 1.488 1.455 0.249 1.029 6.129
beta2_pH[9,3] 0.354 0.961 0.091 0.187 1.497
beta2_pH[10,3] 0.445 1.019 0.099 0.243 1.925
beta2_pH[11,3] -6.068 4.764 -18.416 -4.621 -0.644
beta2_pH[12,3] -6.845 4.603 -19.131 -5.768 -1.288
beta2_pH[13,3] -6.335 4.754 -19.149 -4.897 -1.042
beta2_pH[14,3] -6.371 4.631 -19.479 -5.000 -1.267
beta2_pH[15,3] -6.520 4.670 -18.739 -5.214 -1.177
beta2_pH[16,3] -6.370 4.494 -18.235 -4.976 -1.481
beta2_pH[11,4] -7.376 5.236 -19.150 -6.159 -0.809
beta2_pH[12,4] -7.596 5.141 -19.174 -6.240 -1.186
beta2_pH[13,4] -7.418 5.179 -19.338 -6.127 -0.996
beta2_pH[14,4] -7.447 5.062 -19.120 -6.215 -1.141
beta2_pH[15,4] -7.579 5.133 -19.383 -6.263 -1.178
beta2_pH[16,4] -7.997 5.014 -19.013 -6.725 -1.729
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 34.834 1.075 32.647 34.885 37.011
beta3_pH[2,1] 32.667 1.336 30.173 32.634 35.593
beta3_pH[3,1] 32.840 1.663 29.609 32.794 36.969
beta3_pH[4,1] 32.521 2.119 29.032 32.340 38.068
beta3_pH[5,1] 27.724 1.470 25.701 27.504 31.763
beta3_pH[6,1] 33.101 2.903 27.210 33.013 40.051
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 35.893 3.837 29.644 35.487 42.619
beta3_pH[9,1] 32.097 2.806 27.271 31.714 38.497
beta3_pH[10,1] 32.581 1.694 30.218 32.319 36.037
beta3_pH[11,1] 31.148 1.103 29.245 31.056 33.381
beta3_pH[12,1] 30.787 0.471 29.821 30.812 31.681
beta3_pH[13,1] 31.408 0.530 30.378 31.392 32.528
beta3_pH[14,1] 32.467 0.751 31.189 32.408 34.062
beta3_pH[15,1] 30.999 0.721 29.473 31.040 32.319
beta3_pH[16,1] 30.155 0.362 29.408 30.151 30.851
beta3_pH[1,2] 34.502 5.475 25.485 34.457 43.459
beta3_pH[2,2] 34.504 5.446 25.461 34.483 43.589
beta3_pH[3,2] 30.467 7.160 18.702 30.284 42.366
beta3_pH[4,2] 30.217 7.301 18.633 30.106 42.472
beta3_pH[5,2] 30.409 7.194 18.542 30.409 42.330
beta3_pH[6,2] 30.229 7.337 18.522 30.140 42.273
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.422 3.475 28.279 39.785 42.729
beta3_pH[2,3] 34.524 5.529 25.509 34.579 43.538
beta3_pH[3,3] 30.526 7.096 18.671 30.435 42.323
beta3_pH[4,3] 30.242 7.242 18.538 30.009 42.312
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 42.208 1.172 39.713 42.219 43.899
beta3_pH[9,3] 36.269 1.957 34.529 35.529 41.890
beta3_pH[10,3] 38.089 2.560 34.669 37.557 43.362
beta3_pH[11,3] 40.744 1.033 38.910 40.769 42.662
beta3_pH[12,3] 42.052 0.703 40.316 42.287 42.866
beta3_pH[13,3] 41.419 0.714 39.997 41.425 42.768
beta3_pH[14,3] 40.503 0.689 39.100 40.546 41.794
beta3_pH[15,3] 40.639 0.644 39.225 40.666 41.929
beta3_pH[16,3] 41.862 0.378 41.057 41.910 42.611
beta3_pH[11,4] 40.383 0.947 38.313 40.324 42.235
beta3_pH[12,4] 41.750 0.840 40.205 42.055 42.882
beta3_pH[13,4] 41.700 1.201 39.214 41.681 43.835
beta3_pH[14,4] 40.434 0.751 38.911 40.476 41.778
beta3_pH[15,4] 40.836 0.824 39.064 40.868 42.447
beta3_pH[16,4] 41.532 0.364 40.920 41.515 42.260
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.263 0.021 0.224 0.263 0.304
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.172 0.007 0.158 0.172 0.186
beta4_pH[4,1] 0.294 0.011 0.272 0.294 0.317
beta4_pH[5,1] 0.430 0.349 0.090 0.388 0.955
beta4_pH[6,1] 0.819 0.417 0.347 0.762 1.596
beta4_pH[7,1] 0.855 0.342 0.357 0.804 1.696
beta4_pH[8,1] 0.160 0.069 0.049 0.152 0.310
beta4_pH[9,1] 0.216 0.085 0.066 0.210 0.392
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.446 0.012 0.423 0.446 0.470
beta4_pH[12,1] 0.641 0.023 0.597 0.641 0.686
beta4_pH[13,1] 0.631 0.014 0.605 0.631 0.657
beta4_pH[14,1] 0.668 0.030 0.610 0.668 0.728
beta4_pH[15,1] 0.797 0.021 0.758 0.796 0.839
beta4_pH[16,1] 1.223 0.042 1.145 1.222 1.308
beta4_pH[1,2] 0.306 0.093 0.136 0.300 0.497
beta4_pH[2,2] 0.514 0.023 0.469 0.514 0.559
beta4_pH[3,2] 0.446 0.012 0.423 0.446 0.470
beta4_pH[4,2] 0.654 0.039 0.578 0.654 0.731
beta4_pH[5,2] 0.739 0.814 0.112 0.543 2.648
beta4_pH[6,2] 0.907 0.658 0.214 0.745 2.659
beta4_pH[7,2] 0.887 0.446 0.365 0.812 1.910
beta4_pH[8,2] 0.844 0.203 0.485 0.830 1.272
beta4_pH[9,2] 1.171 1.228 0.312 0.879 3.874
beta4_pH[10,2] 0.456 0.051 0.359 0.455 0.559
beta4_pH[11,2] 1.269 0.050 1.171 1.268 1.368
beta4_pH[12,2] 0.579 0.109 0.383 0.571 0.813
beta4_pH[13,2] 0.945 0.045 0.859 0.943 1.040
beta4_pH[14,2] 0.931 0.062 0.810 0.931 1.052
beta4_pH[15,2] 1.011 0.025 0.962 1.011 1.061
beta4_pH[16,2] 1.407 0.076 1.261 1.404 1.555
beta4_pH[1,3] 0.283 0.087 0.127 0.278 0.467
beta4_pH[2,3] 0.051 0.017 0.020 0.051 0.088
beta4_pH[3,3] 0.053 0.010 0.034 0.052 0.072
beta4_pH[4,3] 0.172 0.031 0.112 0.171 0.234
beta4_pH[5,3] 0.782 0.961 0.137 0.567 2.712
beta4_pH[6,3] 0.897 0.769 0.204 0.724 2.801
beta4_pH[7,3] 0.893 0.433 0.345 0.815 1.943
beta4_pH[8,3] 0.409 0.194 0.109 0.382 0.847
beta4_pH[9,3] 0.941 0.966 0.166 0.693 3.058
beta4_pH[10,3] 0.063 0.041 0.004 0.057 0.158
beta4_pH[11,3] 0.364 0.016 0.334 0.363 0.396
beta4_pH[12,3] 0.440 0.042 0.361 0.439 0.524
beta4_pH[13,3] 0.840 0.038 0.767 0.838 0.915
beta4_pH[14,3] 0.822 0.066 0.693 0.822 0.951
beta4_pH[15,3] 0.635 0.016 0.603 0.635 0.668
beta4_pH[16,3] 0.637 0.034 0.573 0.636 0.706
beta4_pH[1,4] 0.643 0.359 0.215 0.568 1.483
beta4_pH[2,4] 0.793 0.804 0.110 0.579 2.785
beta4_pH[3,4] 0.897 0.952 0.116 0.626 3.275
beta4_pH[4,4] 0.747 0.524 0.216 0.631 1.966
beta4_pH[5,4] 0.750 0.730 0.122 0.564 2.394
beta4_pH[6,4] 0.936 0.943 0.225 0.745 2.759
beta4_pH[7,4] 0.891 0.442 0.346 0.808 1.929
beta4_pH[8,4] 0.746 0.658 0.159 0.598 2.202
beta4_pH[9,4] 0.806 0.962 0.126 0.574 2.923
beta4_pH[10,4] 1.527 3.198 0.007 0.388 12.003
beta4_pH[11,4] 0.444 0.017 0.412 0.445 0.477
beta4_pH[12,4] 0.560 0.055 0.457 0.559 0.670
beta4_pH[13,4] 0.924 0.036 0.855 0.924 0.996
beta4_pH[14,4] 0.917 0.074 0.778 0.915 1.069
beta4_pH[15,4] 0.714 0.020 0.676 0.714 0.753
beta4_pH[16,4] 0.683 0.041 0.606 0.683 0.766
beta4_pH[1,5] 0.626 0.328 0.208 0.555 1.450
beta4_pH[2,5] 0.807 0.928 0.110 0.571 2.759
beta4_pH[3,5] 0.855 1.014 0.112 0.598 3.054
beta4_pH[4,5] 0.733 0.505 0.211 0.620 1.839
beta4_pH[5,5] 0.767 0.881 0.112 0.564 2.443
beta4_pH[6,5] 0.939 0.842 0.221 0.745 2.809
beta4_pH[7,5] 0.887 0.413 0.353 0.811 1.893
beta4_pH[8,5] 0.740 0.663 0.157 0.603 2.206
beta4_pH[9,5] 0.797 1.053 0.125 0.561 2.822
beta4_pH[10,5] 1.483 3.104 0.007 0.376 11.036
beta4_pH[11,5] 0.604 0.053 0.504 0.603 0.714
beta4_pH[12,5] 0.586 0.162 0.317 0.568 0.960
beta4_pH[13,5] 0.776 0.062 0.661 0.772 0.907
beta4_pH[14,5] 0.845 0.121 0.634 0.837 1.110
beta4_pH[15,5] 1.150 0.076 1.012 1.145 1.305
beta4_pH[16,5] 17.831 3.933 10.320 17.862 24.557
beta0_pelagic[1] 2.267 0.035 2.204 2.267 2.339
beta0_pelagic[2] 1.537 0.007 1.524 1.537 1.551
beta0_pelagic[3] 0.213 0.230 -0.331 0.263 0.539
beta0_pelagic[4] 0.149 0.240 -0.527 0.190 0.497
beta0_pelagic[5] 1.446 0.156 1.148 1.442 1.755
beta0_pelagic[6] 1.354 0.060 1.242 1.352 1.479
beta0_pelagic[7] 1.480 0.039 1.407 1.479 1.558
beta0_pelagic[8] 1.675 0.043 1.593 1.674 1.763
beta0_pelagic[9] 2.797 0.068 2.666 2.796 2.932
beta0_pelagic[10] 2.603 0.031 2.546 2.602 2.667
beta0_pelagic[11] -0.131 0.173 -0.449 -0.145 0.209
beta0_pelagic[12] 1.801 0.035 1.736 1.800 1.872
beta0_pelagic[13] -1.080 0.384 -1.700 -1.131 -0.305
beta0_pelagic[14] -0.320 0.258 -1.031 -0.273 0.022
beta0_pelagic[15] -0.209 0.034 -0.309 -0.195 -0.180
beta0_pelagic[16] -0.509 0.347 -1.251 -0.454 0.012
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.726 0.236 0.338 0.708 1.297
beta1_pelagic[4] 0.904 0.260 0.503 0.868 1.616
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.124 0.243 0.627 1.140 1.563
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.973 0.536 1.771 3.011 3.873
beta1_pelagic[14] 1.818 0.488 1.129 1.696 3.132
beta1_pelagic[15] 0.079 0.146 0.000 0.013 0.586
beta1_pelagic[16] 1.569 0.500 0.855 1.502 2.778
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.513 5.779 0.292 4.842 20.999
beta2_pelagic[4] 7.259 6.082 0.298 5.830 21.977
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.931 1.637 0.339 1.350 6.503
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.165 0.066 0.092 0.151 0.328
beta2_pelagic[14] 0.843 0.848 0.186 0.573 3.361
beta2_pelagic[15] 2.514 1.858 0.139 2.133 6.973
beta2_pelagic[16] 0.720 0.947 0.126 0.383 3.764
beta3_pelagic[1] 28.735 3.963 22.317 28.804 35.187
beta3_pelagic[2] 28.802 3.906 22.319 28.752 35.174
beta3_pelagic[3] 27.844 2.725 23.191 28.268 32.553
beta3_pelagic[4] 25.854 1.286 22.697 26.191 27.901
beta3_pelagic[5] 29.338 6.622 18.490 29.225 40.315
beta3_pelagic[6] 29.536 6.646 18.619 29.715 40.357
beta3_pelagic[7] 29.449 6.636 18.465 29.347 40.352
beta3_pelagic[8] 29.375 6.625 18.522 29.254 40.375
beta3_pelagic[9] 29.646 6.597 18.526 29.626 40.488
beta3_pelagic[10] 29.377 6.680 18.641 29.298 40.436
beta3_pelagic[11] 30.001 1.091 28.171 29.921 32.566
beta3_pelagic[12] 30.000 0.000 30.000 30.000 30.000
beta3_pelagic[13] 31.238 3.643 24.993 30.935 39.105
beta3_pelagic[14] 34.019 1.753 30.960 33.965 37.927
beta3_pelagic[15] 33.958 5.658 23.625 34.722 41.735
beta3_pelagic[16] 30.502 2.201 26.210 30.696 34.796
beta0_yellow[1] -0.485 0.079 -0.641 -0.485 -0.334
beta0_yellow[2] 0.542 0.077 0.381 0.547 0.678
beta0_yellow[3] -0.228 0.134 -0.515 -0.227 0.011
beta0_yellow[4] 0.887 0.258 0.140 0.955 1.186
beta0_yellow[5] 0.260 0.336 -0.439 0.280 0.846
beta0_yellow[6] 0.815 0.106 0.615 0.813 1.033
beta0_yellow[7] 0.995 0.094 0.810 0.994 1.179
beta0_yellow[8] 1.022 0.092 0.841 1.023 1.204
beta0_yellow[9] 0.459 0.103 0.260 0.459 0.663
beta0_yellow[10] 0.542 0.070 0.411 0.540 0.683
beta0_yellow[11] -0.195 0.121 -0.458 -0.186 0.019
beta0_yellow[12] -1.084 0.093 -1.269 -1.085 -0.903
beta0_yellow[13] -1.327 0.160 -1.649 -1.315 -1.050
beta0_yellow[14] -0.249 0.155 -0.589 -0.231 -0.001
beta0_yellow[15] -1.236 0.126 -1.529 -1.223 -1.018
beta0_yellow[16] -0.247 0.094 -0.429 -0.248 -0.062
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.018 0.226 0.599 1.017 1.476
beta1_yellow[3] 0.495 0.251 0.026 0.493 0.981
beta1_yellow[4] 1.341 0.622 0.645 1.179 3.312
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.284 0.350 0.001 0.116 1.138
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 2.243 1.770 0.095 1.540 5.931
beta1_yellow[14] 0.966 1.355 0.013 0.481 5.433
beta1_yellow[15] 0.134 0.166 0.011 0.065 0.590
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.878 5.871 -22.082 -6.531 -0.549
beta2_yellow[3] -7.568 5.862 -22.027 -6.234 -0.301
beta2_yellow[4] -5.699 6.012 -20.615 -3.602 -0.113
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -5.933 5.560 -20.246 -3.488 -0.313
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -5.061 5.080 -18.091 -3.049 -0.341
beta2_yellow[14] -6.870 5.455 -20.093 -5.641 -0.334
beta2_yellow[15] -7.764 5.526 -19.474 -6.463 -0.339
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.843 1.044 27.358 28.644 31.754
beta3_yellow[3] 32.694 3.145 24.135 32.838 38.750
beta3_yellow[4] 29.899 3.287 23.360 28.796 35.664
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 35.064 3.807 30.354 33.917 43.419
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 31.969 2.808 29.060 31.032 38.336
beta3_yellow[14] 33.661 3.609 29.140 33.189 42.618
beta3_yellow[15] 36.682 3.900 30.324 36.471 43.582
beta3_yellow[16] 35.000 0.000 35.000 35.000 35.000
beta0_black[1] 0.013 0.075 -0.132 0.011 0.158
beta0_black[2] 1.854 0.032 1.795 1.853 1.919
beta0_black[3] 1.238 0.037 1.167 1.237 1.312
beta0_black[4] 2.426 0.048 2.332 2.425 2.521
beta0_black[5] 5.157 2.359 1.816 4.746 10.843
beta0_black[6] 5.244 2.122 2.653 4.682 10.836
beta0_black[7] 4.120 2.174 1.645 3.519 9.813
beta0_black[8] 0.891 0.216 0.487 0.879 1.361
beta0_black[9] 2.813 0.272 2.282 2.808 3.374
beta0_black[10] 1.289 0.050 1.194 1.288 1.389
beta0_black[11] 2.980 0.051 2.882 2.981 3.080
beta0_black[12] 4.918 0.193 4.547 4.910 5.305
beta0_black[13] 0.430 0.324 0.016 0.358 1.228
beta0_black[14] 2.851 0.105 2.646 2.850 3.059
beta0_black[15] 0.721 0.053 0.609 0.719 0.824
beta0_black[16] 3.769 0.074 3.623 3.768 3.913
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.599 1.785 -6.994 -2.152 -0.315
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.519 3.087 29.010 38.149 40.922
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.326 0.092 -0.508 -0.326 -0.146
beta4_black[2] 0.258 0.052 0.158 0.258 0.360
beta4_black[3] -0.720 0.065 -0.847 -0.721 -0.593
beta4_black[4] 0.628 0.131 0.378 0.628 0.891
beta4_black[5] 0.747 1.510 -1.266 0.484 4.091
beta4_black[6] 0.836 1.485 -0.910 0.558 4.211
beta4_black[7] 0.766 1.477 -1.043 0.519 4.140
beta4_black[8] 0.079 0.290 -0.555 0.097 0.606
beta4_black[9] 1.032 0.814 -0.104 0.868 2.950
beta4_black[10] 0.072 0.066 -0.061 0.072 0.198
beta4_black[11] -0.609 0.067 -0.737 -0.610 -0.473
beta4_black[12] 1.232 0.292 0.685 1.221 1.831
beta4_black[13] -1.007 0.077 -1.159 -1.007 -0.861
beta4_black[14] 0.221 0.182 -0.129 0.222 0.579
beta4_black[15] 0.003 0.046 -0.087 0.002 0.094
beta4_black[16] -0.412 0.117 -0.626 -0.414 -0.174
beta0_dsr[11] -0.329 0.009 -0.348 -0.329 -0.311
beta0_dsr[12] 1.409 0.044 1.322 1.408 1.496
beta0_dsr[13] 0.155 0.020 0.116 0.155 0.194
beta0_dsr[14] -0.127 0.017 -0.160 -0.127 -0.094
beta0_dsr[15] 0.205 0.014 0.179 0.205 0.232
beta0_dsr[16] 0.165 0.016 0.132 0.166 0.197
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.544 0.036 0.474 0.544 0.615
beta4_dsr[12] 0.805 0.226 0.364 0.796 1.253
beta4_dsr[13] -0.079 0.040 -0.157 -0.077 -0.002
beta4_dsr[14] -0.204 0.073 -0.341 -0.203 -0.064
beta4_dsr[15] 0.217 0.022 0.174 0.217 0.258
beta4_dsr[16] -0.056 0.045 -0.143 -0.056 0.031
beta0_slope[11] -2.208 0.021 -2.248 -2.208 -2.166
beta0_slope[12] -4.981 0.186 -5.361 -4.973 -4.643
beta0_slope[13] -1.501 0.034 -1.566 -1.501 -1.433
beta0_slope[14] -2.712 0.052 -2.815 -2.712 -2.611
beta0_slope[15] -1.592 0.022 -1.635 -1.591 -1.550
beta0_slope[16] -2.659 0.037 -2.731 -2.659 -2.587
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.336 0.075 -0.482 -0.335 -0.193
beta4_slope[12] -4.671 0.803 -6.360 -4.647 -3.199
beta4_slope[13] 0.326 0.054 0.217 0.326 0.434
beta4_slope[14] -0.160 0.154 -0.465 -0.158 0.141
beta4_slope[15] -0.360 0.033 -0.425 -0.360 -0.295
beta4_slope[16] -0.137 0.101 -0.350 -0.132 0.059
beta5_slope[11] 3.071 0.107 2.871 3.068 3.289
beta5_slope[12] 2.001 0.380 1.275 1.992 2.762
beta5_slope[13] 0.879 0.080 0.729 0.877 1.043
beta5_slope[14] 3.761 0.361 3.106 3.744 4.520
beta5_slope[15] 1.308 0.074 1.169 1.307 1.458
beta5_slope[16] 2.725 0.235 2.264 2.721 3.196
tau_comp[1] 3.766 0.289 3.226 3.759 4.357
tau_comp[2] 2.851 0.255 2.377 2.840 3.390
tau_comp[3] 0.868 0.073 0.730 0.865 1.023
tau_comp[4] 1.791 0.278 1.303 1.775 2.366
tau_comp[5] 1.277 0.183 0.945 1.271 1.656
sigma_H[1] 0.208 0.047 0.125 0.204 0.306
sigma_H[2] 0.176 0.028 0.127 0.174 0.239
sigma_H[3] 0.189 0.041 0.116 0.186 0.276
sigma_H[4] 0.464 0.078 0.334 0.455 0.646
sigma_H[5] 0.953 0.201 0.588 0.939 1.373
sigma_H[6] 0.526 0.206 0.109 0.521 0.942
sigma_H[7] 0.307 0.062 0.213 0.299 0.450
sigma_H[8] 0.425 0.096 0.279 0.413 0.621
sigma_H[9] 0.512 0.117 0.333 0.495 0.783
sigma_H[10] 0.210 0.040 0.143 0.207 0.297
sigma_H[11] 0.265 0.044 0.193 0.260 0.363
sigma_H[12] 0.386 0.147 0.201 0.340 0.719
sigma_H[13] 0.217 0.036 0.156 0.213 0.298
sigma_H[14] 0.501 0.088 0.348 0.493 0.695
sigma_H[15] 0.231 0.038 0.164 0.228 0.312
sigma_H[16] 0.215 0.040 0.147 0.211 0.306
lambda_H[1] 2.302 3.658 0.081 1.010 11.999
lambda_H[2] 5.189 4.966 0.475 3.711 17.757
lambda_H[3] 5.501 8.106 0.276 2.832 27.474
lambda_H[4] 0.007 0.004 0.001 0.005 0.018
lambda_H[5] 2.527 6.469 0.022 0.623 19.650
lambda_H[6] 6.533 14.790 0.008 0.235 46.346
lambda_H[7] 0.012 0.008 0.002 0.010 0.034
lambda_H[8] 8.050 10.367 0.078 4.540 38.381
lambda_H[9] 0.015 0.010 0.003 0.013 0.040
lambda_H[10] 0.227 0.322 0.025 0.159 0.834
lambda_H[11] 0.211 0.292 0.010 0.100 1.022
lambda_H[12] 3.871 5.518 0.171 2.190 18.288
lambda_H[13] 3.119 2.880 0.261 2.328 10.758
lambda_H[14] 3.359 4.433 0.216 2.151 13.580
lambda_H[15] 0.018 0.016 0.003 0.014 0.057
lambda_H[16] 0.517 0.811 0.032 0.265 2.455
mu_lambda_H[1] 4.074 1.913 1.016 3.916 8.198
mu_lambda_H[2] 3.714 1.981 0.479 3.593 7.786
mu_lambda_H[3] 3.397 1.844 0.737 3.083 7.622
sigma_lambda_H[1] 8.044 4.333 1.722 7.292 17.738
sigma_lambda_H[2] 8.202 4.779 0.766 7.678 18.341
sigma_lambda_H[3] 6.280 4.048 0.997 5.420 16.293
beta_H[1,1] 6.502 1.309 3.559 6.717 8.412
beta_H[2,1] 9.767 0.602 8.471 9.799 10.845
beta_H[3,1] 7.827 0.804 5.936 7.922 9.114
beta_H[4,1] 10.642 7.519 -4.690 10.818 25.711
beta_H[5,1] -0.368 2.573 -5.608 -0.236 4.049
beta_H[6,1] 2.988 4.454 -7.716 4.469 8.346
beta_H[7,1] 1.418 5.681 -10.868 1.700 11.917
beta_H[8,1] 1.395 4.177 -2.802 1.247 3.665
beta_H[9,1] 13.556 5.758 2.833 13.355 25.337
beta_H[10,1] 6.869 1.822 3.020 6.936 10.309
beta_H[11,1] 4.692 3.569 -2.886 5.260 9.916
beta_H[12,1] 2.608 1.071 0.644 2.532 4.989
beta_H[13,1] 9.099 0.878 7.170 9.160 10.605
beta_H[14,1] 2.101 1.005 0.100 2.114 4.061
beta_H[15,1] -7.143 3.289 -13.292 -7.352 -0.520
beta_H[16,1] 3.898 2.887 -0.726 3.472 10.753
beta_H[1,2] 7.777 0.269 7.225 7.784 8.282
beta_H[2,2] 9.878 0.165 9.561 9.879 10.186
beta_H[3,2] 8.796 0.200 8.396 8.795 9.201
beta_H[4,2] 3.031 1.391 0.425 3.011 5.871
beta_H[5,2] 1.726 0.995 -0.186 1.688 3.700
beta_H[6,2] 6.042 1.100 3.602 6.197 7.801
beta_H[7,2] 2.356 1.063 0.486 2.296 4.668
beta_H[8,2] 2.988 1.176 1.283 3.145 4.270
beta_H[9,2] 3.187 1.095 1.103 3.165 5.424
beta_H[10,2] 8.041 0.363 7.277 8.054 8.758
beta_H[11,2] 9.863 0.639 8.872 9.769 11.234
beta_H[12,2] 3.938 0.368 3.244 3.924 4.691
beta_H[13,2] 9.147 0.241 8.703 9.138 9.658
beta_H[14,2] 4.017 0.342 3.371 4.007 4.741
beta_H[15,2] 11.569 0.597 10.403 11.581 12.694
beta_H[16,2] 4.457 0.812 2.991 4.423 6.116
beta_H[1,3] 8.450 0.260 7.981 8.441 8.960
beta_H[2,3] 9.850 0.148 9.563 9.851 10.139
beta_H[3,3] 9.459 0.163 9.153 9.455 9.797
beta_H[4,3] -2.197 0.838 -3.944 -2.169 -0.598
beta_H[5,3] 3.893 0.636 2.633 3.898 5.137
beta_H[6,3] 8.470 1.187 6.747 8.172 10.952
beta_H[7,3] -2.527 0.626 -3.819 -2.511 -1.342
beta_H[8,3] 5.318 0.556 4.687 5.233 6.486
beta_H[9,3] -2.718 0.718 -4.137 -2.723 -1.324
beta_H[10,3] 8.552 0.277 8.022 8.551 9.099
beta_H[11,3] 8.481 0.288 7.859 8.503 8.988
beta_H[12,3] 5.272 0.322 4.538 5.309 5.792
beta_H[13,3] 8.853 0.173 8.492 8.856 9.193
beta_H[14,3] 5.787 0.262 5.230 5.803 6.257
beta_H[15,3] 10.286 0.291 9.729 10.277 10.870
beta_H[16,3] 5.951 0.596 4.691 5.986 7.005
beta_H[1,4] 8.105 0.186 7.727 8.116 8.443
beta_H[2,4] 9.842 0.132 9.568 9.848 10.089
beta_H[3,4] 9.947 0.156 9.614 9.961 10.221
beta_H[4,4] 11.809 0.459 10.904 11.792 12.741
beta_H[5,4] 5.628 0.772 4.399 5.556 7.432
beta_H[6,4] 7.219 0.932 5.267 7.436 8.568
beta_H[7,4] 8.533 0.348 7.845 8.530 9.213
beta_H[8,4] 6.716 0.274 6.203 6.736 7.140
beta_H[9,4] 7.422 0.451 6.558 7.416 8.366
beta_H[10,4] 7.528 0.228 7.099 7.520 8.000
beta_H[11,4] 9.510 0.189 9.138 9.511 9.885
beta_H[12,4] 7.256 0.195 6.880 7.254 7.653
beta_H[13,4] 9.060 0.134 8.792 9.064 9.310
beta_H[14,4] 7.824 0.212 7.403 7.820 8.246
beta_H[15,4] 9.481 0.224 9.046 9.479 9.936
beta_H[16,4] 9.423 0.239 8.973 9.417 9.922
beta_H[1,5] 8.896 0.152 8.590 8.900 9.182
beta_H[2,5] 10.678 0.101 10.494 10.674 10.891
beta_H[3,5] 10.753 0.162 10.465 10.748 11.095
beta_H[4,5] 8.344 0.494 7.370 8.347 9.329
beta_H[5,5] 5.154 0.627 3.646 5.241 6.138
beta_H[6,5] 9.054 0.658 8.067 8.925 10.493
beta_H[7,5] 6.585 0.340 5.931 6.578 7.254
beta_H[8,5] 8.248 0.221 7.900 8.226 8.688
beta_H[9,5] 8.195 0.456 7.299 8.189 9.084
beta_H[10,5] 10.044 0.228 9.595 10.048 10.501
beta_H[11,5] 11.603 0.218 11.197 11.598 12.042
beta_H[12,5] 8.614 0.189 8.238 8.617 8.987
beta_H[13,5] 10.135 0.126 9.894 10.133 10.387
beta_H[14,5] 9.246 0.218 8.848 9.238 9.704
beta_H[15,5] 11.325 0.233 10.874 11.320 11.768
beta_H[16,5] 9.841 0.186 9.452 9.847 10.189
beta_H[1,6] 10.117 0.232 9.753 10.084 10.651
beta_H[2,6] 11.468 0.119 11.225 11.469 11.698
beta_H[3,6] 10.619 0.157 10.279 10.630 10.899
beta_H[4,6] 12.925 0.879 11.222 12.915 14.674
beta_H[5,6] 5.694 0.660 4.578 5.655 7.197
beta_H[6,6] 8.786 0.593 7.498 8.813 9.864
beta_H[7,6] 10.537 0.588 9.344 10.539 11.685
beta_H[8,6] 9.515 0.298 8.954 9.539 9.962
beta_H[9,6] 8.271 0.765 6.836 8.258 9.833
beta_H[10,6] 9.152 0.343 8.419 9.180 9.740
beta_H[11,6] 10.679 0.359 9.898 10.708 11.296
beta_H[12,6] 9.379 0.241 8.919 9.372 9.870
beta_H[13,6] 11.092 0.155 10.798 11.089 11.403
beta_H[14,6] 9.911 0.283 9.348 9.913 10.447
beta_H[15,6] 10.532 0.420 9.728 10.526 11.370
beta_H[16,6] 10.600 0.261 10.050 10.609 11.100
beta_H[1,7] 10.192 1.234 7.072 10.479 11.895
beta_H[2,7] 12.112 0.529 10.963 12.140 13.069
beta_H[3,7] 10.286 0.683 8.690 10.351 11.431
beta_H[4,7] 1.370 4.510 -7.742 1.535 9.967
beta_H[5,7] 5.766 2.063 1.363 5.875 9.667
beta_H[6,7] 7.067 3.351 -1.058 8.277 11.098
beta_H[7,7] 7.754 2.998 1.845 7.729 13.703
beta_H[8,7] 10.891 1.112 9.153 10.849 12.765
beta_H[9,7] 5.014 3.961 -3.107 5.067 12.590
beta_H[10,7] 9.975 1.642 7.163 9.841 13.573
beta_H[11,7] 11.456 1.821 8.376 11.263 15.470
beta_H[12,7] 9.797 0.985 7.563 9.888 11.501
beta_H[13,7] 11.722 0.702 10.165 11.784 12.906
beta_H[14,7] 10.628 0.902 8.755 10.671 12.267
beta_H[15,7] 14.118 2.230 9.535 14.138 18.392
beta_H[16,7] 12.815 1.361 10.485 12.685 15.904
beta0_H[1] 8.518 18.052 -28.000 8.512 44.570
beta0_H[2] 10.428 8.212 -7.260 10.560 27.139
beta0_H[3] 9.712 10.300 -10.159 9.554 28.886
beta0_H[4] 10.764 188.264 -354.752 5.245 408.644
beta0_H[5] 4.033 30.137 -56.568 4.268 65.440
beta0_H[6] 6.323 56.755 -112.918 7.696 134.862
beta0_H[7] 3.502 135.273 -280.218 5.239 265.270
beta0_H[8] 5.802 34.803 -18.451 6.443 33.455
beta0_H[9] 3.708 120.189 -236.767 5.991 246.913
beta0_H[10] 9.101 38.386 -67.687 8.746 90.796
beta0_H[11] 8.110 54.401 -111.131 8.806 117.087
beta0_H[12] 6.715 12.195 -18.682 6.844 31.566
beta0_H[13] 9.829 11.086 -11.988 9.782 30.359
beta0_H[14] 7.285 12.267 -15.766 7.238 29.563
beta0_H[15] 7.852 115.529 -225.191 7.466 238.897
beta0_H[16] 8.489 30.689 -54.240 8.247 73.647